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1

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)
Let $$P = \left( { - 1,\,0} \right),\,Q = \left( {0,\,0} \right)$$ and $$R = \left( {3,\,3\sqrt 3 } \right)$$ be three points.
Then the equation of the bisector of the angle $$PQR$$ is
A
$${{\sqrt 3 } \over 2}x + y = 0$$
B
$$x + \sqrt 3 y = 0$$
C
$$\sqrt 3 x + y = 0$$
D
$$x + {{\sqrt 3 } \over 2}y = 0$$
2

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)
Let $$0 < \alpha < {\pi \over 2}$$ be fixed angle. If $$P = \left( {\cos \theta ,\,\sin \theta } \right)$$ and $$Q = \left( {\cos \left( {\alpha - \theta } \right),\,\sin \left( {\alpha - \theta } \right)} \right),$$ then $$Q$$ is obtained from $$P$$ by
A
clockwise rotation around origin through an angle $$\alpha $$
B
anticlockwise rotation around origin through an angle $$\alpha $$
C
reflection in the line through origin with slope tan $$\alpha $$
D
reflection in the line through origin with slope tan $$\left( {\alpha /2} \right)$$
3

IIT-JEE 2001 Screening

MCQ (Single Correct Answer)
Area of the parallelogram formed by the lines $$y = mx$$, $$y = mx + 1$$, $$y = nx$$ and $$y = nx + 1$$ equals
A
$$\left| {m + n} \right|/{\left( {m - n} \right)^2}$$
B
$$2/\left| {m + n} \right|$$
C
$$1/\left( {\left| {m + n} \right|} \right)$$
D
$$1/\left( {\left| {m - n} \right|} \right)$$
4

IIT-JEE 2001 Screening

MCQ (Single Correct Answer)
The number of integer values of $$m$$, for which the $$x$$-coordinate of the point of intersection of the lines $$3x + 4y = 9$$ and $$y = mx + 1$$ is also an integer, is
A
2
B
0
C
4
D
1

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